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math-ph2026
Numerical study of solitary waves in Dirac--Klein--Gordon system
Andrew Comech, Julien Ricaud, Marco Roque
We use numerics to construct solitary waves in Dirac--Klein--Gordon (in one and three spatial dimensions) and study the dependence of energy and charg…
math-ph2025
On gap properties for the linearized 1D Dirac--Soler model
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer
We study spectral properties of the Dirac operator arising as the upper-right off-diagonal block in the linearization around standing wave solutions of the one-dimensional So…